{
  "id": "2307.02550",
  "version": "v1",
  "published": "2023-07-05T18:00:05.000Z",
  "updated": "2023-07-05T18:00:05.000Z",
  "title": "K-classes of delta-matroids and equivariant localization",
  "authors": [
    "Christopher Eur",
    "Matt Larson",
    "Hunter Spink"
  ],
  "comment": "19 pages",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "Delta-matroids are \"type B\" generalizations of matroids in the same way that maximal orthogonal Grassmannians are generalizations of Grassmannians. A delta-matroid analogue of the Tutte polynomial of a matroid is the interlace polynomial. We give a geometric interpretation for the interlace polynomial via the K-theory of maximal orthogonal Grassmannians. To do so, we develop a new Hirzebruch-Riemann-Roch-type formula for the type B permutohedral variety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-05T18:00:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equivariant localization",
      "maximal orthogonal grassmannians",
      "interlace polynomial",
      "delta-matroid analogue",
      "generalizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}